In short, no you cannot do that. The pic in mail appears only if the contact has your profile picture.
Some email client like Spark (and maybe others) have their own database of photos from social media sites (and now probably BIMI) via Clearbit, to display to users if photos do not exist in their contact.
If you want your domain.com to have picture displayed, you need to opt to set up BIMI. It will appear for all emails sent for that particular domain, not for specific user.
I had it set up for one of my domains and so far it did show up in gmail, and outlook.